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Finding the Third Proportional to 83,548.13 and 180,412.88

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Solution

The third proportional to 83,548.13 and 180,412.88 is: 389,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,548.13 : 180,412.88 = 180,412.88 : x
  2. Step 2: Convert to fraction form
    83,548.13/180,412.88 = 180,412.88/x
  3. Step 3: Cross multiply
    83,548.13x = 180,412.88 × 180,412.88
  4. Step 4: Simplify right side
    83,548.13x = 32,548,805,465.77
  5. Step 5: Solve for x
    x = 32,548,805,465.77/83,548.13
  6. Step 6: Final answer
    x = 389,581.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.